Solution to a differential equation, Mathematics

Assignment Help:

A solution to a differential equation at an interval α < t < b is any function y (t) that satisfies the differential equation in question on the interval α < t < b.  It is significant to note that solutions are frequently accompanied through intervals and these intervals can impart several of significant information regarding the solution.  Consider the subsequent illustration.

Illustration 1:  Show that y(x) = x-3/2 is a solution to 4x2 y′′ + 12xy′ + 3 y = 0 for x > 0.

Solution: We'll require the first and second derivative to do this.

y'(x) = (-3/2) x-5/2                     y''(x) = (15/4) x-7/2

Plug these in addition to the function in the differential equation.

4x2 ((15/4) x-7/2) + 12x((-3/2) x-5/2) + 3(x-3/2) = 0


Related Discussions:- Solution to a differential equation

Estimation of population proportions, Estimation of population proportions ...

Estimation of population proportions This form of estimation applies at the times while information cannot be described as a mean or as a measure but only as a percentage or fr

Probability, A man is known to speak truth 3 out of 4 times.He throws adi...

A man is known to speak truth 3 out of 4 times.He throws adie and reports it is a six. Find the probability that it is actually a six. Solution)  we can get a six if a man s

Geometry, write a proof on proving triangles are congruent.

write a proof on proving triangles are congruent.

Percents., the cost of paint used in a redecorating job is $65.70 .This is ...

the cost of paint used in a redecorating job is $65.70 .This is a reduction from its original cost of $82.13 .What is the percent decrease in the cost of paint to the nearest perce

Determine fog and gof, Let g be a function from the set G = {1,2,3,...34,35...

Let g be a function from the set G = {1,2,3,...34,35,36).  Let f be a function from the set F = {1,2,3,...34,35,36}.  Set G  and F contain 36 identical elements (a - z and 0 - 9).

Algebra, 25 algebraic equations that equal 36

25 algebraic equations that equal 36

Pumping lemma for context free languages, 1. Construct a grammar G such tha...

1. Construct a grammar G such that L(G) = L(M) where M is the PDA in the previous question. Then show that the word aaaabb is generated by G. 2. Prove, using the Pumping Lemma f

SHARES AND DIVIDEND, PLEASE PROVIDE SOME STUFF TO WRITE ON SHARES AND DIVID...

PLEASE PROVIDE SOME STUFF TO WRITE ON SHARES AND DIVIDEND

How did rousseau resolve the conflict, How did Rousseau resolve the conflic...

How did Rousseau resolve the conflict between the rights of the individual and the responsibilities of government (the state)? How did the ideas about universal education and socia

Logarithmic function:solve for x: 4 log x2, Solve for x: 4 log x = log (15 ...

Solve for x: 4 log x = log (15 x 2 + 16) Solution:              x 4 - 15 x 2 - 16 = 0                (x 2 + 1)(x 2 - 16) = 0                x = ± 4   But log x is

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd